{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "73bd968b-d970-4a05-94ef-4e7abf990827",
   "metadata": {},
   "source": [
    "Chapter 13\n",
    "\n",
    "# 圆锥面\n",
    "Book_3《数学要素》 | 鸢尾花书：从加减乘除到机器学习 (第二版)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fa26266c-35bd-49d1-a29a-1a578e0a2290",
   "metadata": {},
   "source": [
    "这段代码通过在平面上生成一个以 $(c_1, c_2) = (0,0)$ 为圆心、半径为 4 的二维圆形网格，以展示函数 $$f(x_1, x_2) = \\sqrt{x_1^2 + x_2^2}$$ 的三维曲面图和等高线图。该函数的值代表平面上每个点 $(x_1, x_2)$ 到圆心的距离，因此，函数图像呈现出一个以圆心为最低点的向外辐射递增的三维曲面。\n",
    "\n",
    "具体步骤如下：\n",
    "\n",
    "1. 使用 `mesh_circ` 函数在极坐标系中生成网格，将极坐标 $(r, \\theta)$ 转换为直角坐标 $(x_1, x_2)$。\n",
    "2. 定义函数 $$f(x_1, x_2) = \\sqrt{x_1^2 + x_2^2}$$，即将每个点 $(x_1, x_2)$ 到圆心的距离作为函数值，从而构造一个径向递增的平面。\n",
    "3. 使用 `plot_wireframe` 绘制三维网格线框图，使用 `contour3D` 叠加等高线，通过颜色展示函数值的变化，生成一个环状的径向分布。\n",
    "\n",
    "最终结果是一个三维的径向对称图，显示出从圆心到边界的高度递增趋势，颜色逐渐变深，帮助理解平面上的径向分布。该图像可用于展示中心对称的函数特性或模拟物理和数学中的径向场。"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "081cb135-17c1-4c6b-bd46-9b8b0a430fbe",
   "metadata": {},
   "source": [
    "## 导入包"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "d27f0ae0-a5e0-497d-8061-ac2b27838049",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np  # 导入numpy库，用于数值计算\n",
    "import matplotlib.pyplot as plt  # 导入matplotlib库，用于绘图"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a7e54d2b-68a4-430d-af79-bdcc840bd60f",
   "metadata": {},
   "source": [
    "## 定义mesh_circ函数，用于生成圆形网格"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "f6c867a2-74c7-40bc-8424-f27b3b63d2eb",
   "metadata": {},
   "outputs": [],
   "source": [
    "def mesh_circ(c1, c2, r, num):  # 参数分别为圆心坐标、半径和网格数量\n",
    "    \n",
    "    theta = np.arange(0, 2 * np.pi + np.pi / num, np.pi / num)  # 角度范围从0到2π\n",
    "    r = np.arange(0, r, r / num)  # 半径范围从0到设定的r\n",
    "    theta, r = np.meshgrid(theta, r)  # 创建极坐标网格\n",
    "    xx1 = np.cos(theta) * r + c1  # 转换为直角坐标x1\n",
    "    xx2 = np.sin(theta) * r + c2  # 转换为直角坐标x2\n",
    "    \n",
    "    return xx1, xx2  # 返回x1和x2的网格"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0d62ef22-60b3-422b-964f-9ed49f9a2dc7",
   "metadata": {},
   "source": [
    "## 使用mesh_circ函数生成圆形网格"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "246e9cdd-ae3b-46ab-bce2-67d87962dad8",
   "metadata": {},
   "outputs": [],
   "source": [
    "xx1, xx2 = mesh_circ(0, 0, 4, 20)  # 圆心在(0, 0)，半径为4，分为20个网格\n",
    "\n",
    "ff_x = np.sqrt(xx1**2 + xx2**2)  # 计算每个点到圆心的距离，定义为函数值"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0244a2c9-ae97-4f4e-a014-975f7962a5f5",
   "metadata": {},
   "source": [
    "## 3D可视化"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "d8a1d8ef-28e8-4966-99c9-31a028c4d994",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = plt.figure().add_subplot(projection='3d')  # 创建三维图形\n",
    "ax.plot_wireframe(xx1, xx2, ff_x, rstride=1, \n",
    "                  cstride=1, color=[0.5, 0.5, 0.5], \n",
    "                  linewidth=0.2)  # 绘制网格线框图\n",
    "\n",
    "ax.contour3D(xx1, xx2, ff_x, 20, cmap='RdYlBu_r')  # 绘制等高线\n",
    "\n",
    "ax.xaxis.set_ticks([])  # 隐藏x轴刻度\n",
    "ax.yaxis.set_ticks([])  # 隐藏y轴刻度\n",
    "ax.zaxis.set_ticks([])  # 隐藏z轴刻度\n",
    "plt.xlim(xx1.min(), xx1.max())  # 设置x轴范围\n",
    "plt.ylim(xx2.min(), xx2.max())  # 设置y轴范围\n",
    "ax.set_proj_type('ortho')  # 设置正交投影\n",
    "\n",
    "ax.set_xlabel('$x_1$')  # 设置x轴标签\n",
    "ax.set_ylabel('$x_2$')  # 设置y轴标签\n",
    "ax.set_zlabel('$f(x_1,x_2)$')  # 设置z轴标签\n",
    "plt.tight_layout()  # 自动调整布局"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.12.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
